1971285552 has 80 divisors (see below), whose sum is σ = 5663729760. Its totient is φ = 656467200.

The previous prime is 1971285529. The next prime is 1971285553. The reversal of 1971285552 is 2555821791.

1971285552 is a `hidden beast` number, since 1 + 9 + 7 + 12 + 85 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1971285498 and 1971285507.

It is not an unprimeable number, because it can be changed into a prime (1971285553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750802 + ... + 753422.

It is an arithmetic number, because the mean of its divisors is an integer number (70796622).

Almost surely, 2^1971285552 is an apocalyptic number.

1971285552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1971285552 is an abundant number, since it is smaller than the sum of its proper divisors (3692444208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1971285552 is a wasteful number, since it uses less digits than its factorization.

1971285552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4367 counting only the distinct ones).

The product of its digits is 252000, while the sum is 45.

The square root of 1971285552 is about 44399.1616137062. The cubic root of 1971285552 is about 1253.8623048828.

The spelling of 1971285552 in words is "one billion, nine hundred seventy-one million, two hundred eighty-five thousand, five hundred fifty-two".